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我想生成包含随机生成的粉红噪声的任意大小的二维图像。 Wikipedia suggests粉红噪声的二维推广将有能量下降为1/f^2。我发现some code on the MATLAB File Exchange计算一维粉红噪声矢量。但我不知道如何正确地将它推广到两个维度 - 我对fft不是很熟悉,当我计算ifft时,下面的天真尝试会产生复杂的向量。在Matlab中创建粉色噪声图像
function pink = pinkNoiseImage(nrow,ncol)
rnrow = 2.^(ceil(log2(nrow)));
rncol = 2.^(ceil(log2(ncol)));
r = randn(rnrow,rncol);
rf = fft(r);
rnup = rnrow/2+1;
cnup = rncol/2+1;
frf = kron(1./sqrt(1:cnup),1./sqrt(1:rnup)');
rf(1:rnup,1:cnup) = rf(1:rnup,1:cnup).*frf;
rf(rnup+1:rnrow,1:cnup) = real(frf(rnrow/2:-1:2,1:cnup))-1i*imag(frf(rnrow/2:-1:2,1:cnup));
rf(1:rnup,cnup+1:rncol) = real(frf(1:rnup,rncol/2:-1:2))-1i*imag(frf(1:rnup,rncol/2:-1:2));
rf(rnup+1:rnrow,cnup+1:rncol) = real(frf(rnrow/2:-1:2,rncol/2:-1:2))-1i*imag(frf(rnrow/2:-1:2,rncol/2:-1:2));
pink = ifft(rf);
如何生成包含粉红噪声的2D矩阵?
感谢FEX参考。事实证明,由该文件计算的布朗噪声可能比粉红噪声更有用。 – nhowe